Daily Practice

Higher Plus

17th November 1984

5 questions · 15 marks · Grades 8-9 · 51 question types in this band

1
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 48. Work out y when x = 5.
2
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = p and vector OB = c. P is the point dividing AB in the ratio 2 : 1. Write vector OP in terms of p and c.
3
Probability Equation Questions3 marks
The probability of winning a game is 1/8. A player expects 3 wins. How many games did they play?
4
Histograms3 marks
On a histogram the bar for 0 < x <= 5 has a frequency density of 3.5. How many values are in that class?
5
Bounds3 marks
A car covers 150 m (to the nearest 10 m) in 8 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.

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